Find all the solutions in the interval [0,2pi).
2sin2x - sqrt(2) = 0
sin2x = sqrt(2)/2
I'm confused by the double angle. Please help.
Trig - Reiny, Tuesday, December 2, 2008 at 9:50pm
2x = 45º or 135º
x = 22.5º or x = 67.5º
in radians: x = pi/8 or 3pi/8
Trig - Travis, Tuesday, December 2, 2008 at 10:03pm
But my calculator also shows 9pi/8 and 11pi/8. Why do you have to add pi?
Trig - Reiny, Wednesday, December 3, 2008 at 8:22am
ahh, smart calculator you got there.
the period of sin2x is pi or 180 degrees
so we have to add pi to each of our answers until we are no longer in the given domain.
so x = pi/8, 3pi/8, 9pi/8 and 11pi/8
I should have taken care of that in my first post , sorry
lmuc odhq - lmuc odhq, Thursday, January 1, 2009 at 1:29pm
fgndboqt fwhgdlqyj czefhiko zykom piesg kcqiruf kmelqpvz
hqbs xbtak - hqbs xbtak, Thursday, January 1, 2009 at 12:21pm
fnylh whoxd gmcdzsh oavjytqm xmugn ofnksecpv pjrkhy